42088660992 has 288 divisors, whose sum is σ = 142605792000. Its totient is φ = 12018253824.

The previous prime is 42088660981. The next prime is 42088660993. The reversal of 42088660992 is 29906688024.

It is a happy number.

42088660992 is a `hidden beast` number, since 4 + 20 + 8 + 8 + 6 + 609 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42088660993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24771759 + ... + 24773457.

It is an arithmetic number, because the mean of its divisors is an integer number (495159000).

Almost surely, 2^42088660992 is an apocalyptic number.

42088660992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42088660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71302896000).

42088660992 is an abundant number, since it is smaller than the sum of its proper divisors (100517131008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42088660992 is an frugal number, since it uses more digits than its factorization.

42088660992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 42088660992 in words is "forty-two billion, eighty-eight million, six hundred sixty thousand, nine hundred ninety-two".